2 Days to visit Lauterbrunnen and Lucerne

I'm very happy found this website. It provide many information about Lucerne and Lautebrunnen.

My Wife and I are coming to Switzerland 7 - 9 July. We will arrive in Basel at 08:15AM. Then take train from Basel to Lauterbrunnen at 08:59AM. We will arrive around 11.25AM. I'm planning to visit Jungfraujoch, Schiltorn (is it possible? in our way back from jungfraujoch), Trummelbach falls and stay in Lauterbrunnen for first day.

Next morning we will take train from Lauterbrunnen to Lucerne at 06:33AM. We will arrive at 08.55AM. We will take 2hours city tour (viator.com) from 09.45Am to 11.45AM. After that we will go to Titlis. And we will stay in Lucerne for the 2nd day.

Next morning i will take train from Lucerne to Milan

My question is:

1. Is it possible to do my itinerary? Do you have suggestion / advice to make my journey better?

2. For the first day, which one i should visit first? Jungfraujoch -> Schiltorn -> Trummelbach?

3. In Jungfrau and Titlis is there any shoes and jacket rent? I have plan to go to snow park.

1./2. You only have one afternoon on day 1. You can visit one of the mountains, not both. If you don't stay too long you can possibly visit the Trümmelbach Falls too (they close at 6 PM). Please check the Jungfraujoch and Schilthorn pages, and the timetable, so you know what to expect and how to schedule this.

By the way, you don't need to wait in Basel that long. You can take the 8:31 AM train and arrive in Lauterbrunnen half an hour earlier. I'm not sure which rail pass you'll be using, but be sure to print it at home so you won't have to spend time on that in Basel and go straight to your train. Purchase options for the Swiss Travel Pass are here.